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Finding the Fourth Proportional to 80,120.40, 120,180.60 and 78,565.20

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Solution

The fourth proportional to 80,120.40, 120,180.60 and 78,565.20 is: 117,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120.40 : 120,180.60 = 78,565.20 : x
  2. Step 2: Convert to fraction form
    80,120.40/120,180.60 = 78,565.20/x
  3. Step 3: Cross multiply
    80,120.40x = 120,180.60 × 78,565.20
  4. Step 4: Simplify right side
    80,120.40x = 9,442,012,875.12
  5. Step 5: Solve for x
    x = 9,442,012,875.12/80,120.40
  6. Step 6: Final answer
    x = 117,847.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.